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  1. Thu Jun 5 10:45:26 2025
  2. Thu Jun 5 10:45:26 2025
  3. Thu Jun 5 10:45:26 2025 Msieve v. 1.46
  4. Thu Jun 5 10:45:26 2025 random seeds: a3bb171c 657db6aa
  5. Thu Jun 5 10:45:26 2025 factoring 2484261365203993987385169714441052042597952904975699033721920282038678259036668232164739660935195115194093604358343672818976913972816723339739739613595492614521666910362852277504020301234649148889464375927733160076761120391762836987 (232 digits)
  6. Thu Jun 5 10:45:26 2025 searching for 15-digit factors
  7. Thu Jun 5 10:45:27 2025 commencing number field sieve (232-digit input)
  8. Thu Jun 5 10:45:27 2025 R0: 867361737988403547205962240695953369140625
  9. Thu Jun 5 10:45:27 2025 R1: -42391158275216203514294433201
  10. Thu Jun 5 10:45:27 2025 A0: 25
  11. Thu Jun 5 10:45:27 2025 A1: 0
  12. Thu Jun 5 10:45:27 2025 A2: 0
  13. Thu Jun 5 10:45:27 2025 A3: 15
  14. Thu Jun 5 10:45:27 2025 A4: 0
  15. Thu Jun 5 10:45:27 2025 A5: 0
  16. Thu Jun 5 10:45:27 2025 A6: 9
  17. Thu Jun 5 10:45:27 2025 skew 1.19, size 2.555e-12, alpha -0.329, combined = 2.331e-13 rroots = 0
  18. Thu Jun 5 10:45:27 2025
  19. Thu Jun 5 10:45:27 2025 commencing relation filtering
  20. Thu Jun 5 10:45:27 2025 estimated available RAM is 131072.0 MB
  21. Thu Jun 5 10:45:27 2025 commencing duplicate removal, pass 1
  22. Thu Jun 5 10:46:32 2025 error -15 reading relation 46927842
  23. Thu Jun 5 10:50:32 2025 skipped 450 relations with b > 2^32
  24. Thu Jun 5 10:50:32 2025 found 9883962 hash collisions in 212870432 relations
  25. Thu Jun 5 10:50:37 2025 added 812057 free relations
  26. Thu Jun 5 10:50:37 2025 commencing duplicate removal, pass 2
  27. Thu Jun 5 10:51:22 2025 found 1 duplicates and 213682488 unique relations
  28. Thu Jun 5 10:51:22 2025 memory use: 522.4 MB
  29. Thu Jun 5 10:51:22 2025 reading ideals above 720000
  30. Thu Jun 5 10:51:22 2025 commencing singleton removal, initial pass
  31. Thu Jun 5 11:07:15 2025 memory use: 5512.0 MB
  32. Thu Jun 5 11:07:15 2025 reading all ideals from disk
  33. Thu Jun 5 11:07:16 2025 memory use: 8674.0 MB
  34. Thu Jun 5 11:07:22 2025 keeping 176877051 ideals with weight <= 200, target excess is 1092106
  35. Thu Jun 5 11:07:30 2025 commencing in-memory singleton removal
  36. Thu Jun 5 11:07:35 2025 begin with 213682488 relations and 176877051 unique ideals
  37. Thu Jun 5 11:08:23 2025 reduce to 156696994 relations and 115684067 ideals in 11 passes
  38. Thu Jun 5 11:08:23 2025 max relations containing the same ideal: 175
  39. Thu Jun 5 11:08:45 2025 removing 9712163 relations and 7712163 ideals in 2000000 cliques
  40. Thu Jun 5 11:08:47 2025 commencing in-memory singleton removal
  41. Thu Jun 5 11:08:50 2025 begin with 146984831 relations and 115684067 unique ideals
  42. Thu Jun 5 11:09:17 2025 reduce to 146684595 relations and 107667403 ideals in 7 passes
  43. Thu Jun 5 11:09:17 2025 max relations containing the same ideal: 168
  44. Thu Jun 5 11:09:37 2025 removing 7490196 relations and 5490196 ideals in 2000000 cliques
  45. Thu Jun 5 11:09:39 2025 commencing in-memory singleton removal
  46. Thu Jun 5 11:09:42 2025 begin with 139194399 relations and 107667403 unique ideals
  47. Thu Jun 5 11:10:04 2025 reduce to 138987129 relations and 101967335 ideals in 6 passes
  48. Thu Jun 5 11:10:04 2025 max relations containing the same ideal: 162
  49. Thu Jun 5 11:10:23 2025 removing 6751279 relations and 4751279 ideals in 2000000 cliques
  50. Thu Jun 5 11:10:24 2025 commencing in-memory singleton removal
  51. Thu Jun 5 11:10:27 2025 begin with 132235850 relations and 101967335 unique ideals
  52. Thu Jun 5 11:10:48 2025 reduce to 132039750 relations and 97017334 ideals in 6 passes
  53. Thu Jun 5 11:10:48 2025 max relations containing the same ideal: 154
  54. Thu Jun 5 11:11:06 2025 removing 6375148 relations and 4375148 ideals in 2000000 cliques
  55. Thu Jun 5 11:11:07 2025 commencing in-memory singleton removal
  56. Thu Jun 5 11:11:10 2025 begin with 125664602 relations and 97017334 unique ideals
  57. Thu Jun 5 11:11:30 2025 reduce to 125489094 relations and 92464299 ideals in 6 passes
  58. Thu Jun 5 11:11:30 2025 max relations containing the same ideal: 149
  59. Thu Jun 5 11:11:47 2025 removing 6127334 relations and 4127334 ideals in 2000000 cliques
  60. Thu Jun 5 11:11:48 2025 commencing in-memory singleton removal
  61. Thu Jun 5 11:11:51 2025 begin with 119361760 relations and 92464299 unique ideals
  62. Thu Jun 5 11:12:10 2025 reduce to 119190170 relations and 88162929 ideals in 6 passes
  63. Thu Jun 5 11:12:10 2025 max relations containing the same ideal: 145
  64. Thu Jun 5 11:12:26 2025 removing 5981208 relations and 3981208 ideals in 2000000 cliques
  65. Thu Jun 5 11:12:27 2025 commencing in-memory singleton removal
  66. Thu Jun 5 11:12:29 2025 begin with 113208962 relations and 88162929 unique ideals
  67. Thu Jun 5 11:12:47 2025 reduce to 113040921 relations and 84011363 ideals in 6 passes
  68. Thu Jun 5 11:12:47 2025 max relations containing the same ideal: 139
  69. Thu Jun 5 11:13:03 2025 removing 5770115 relations and 3770115 ideals in 2000000 cliques
  70. Thu Jun 5 11:13:04 2025 commencing in-memory singleton removal
  71. Thu Jun 5 11:13:06 2025 begin with 107270806 relations and 84011363 unique ideals
  72. Thu Jun 5 11:13:23 2025 reduce to 107079792 relations and 80047165 ideals in 6 passes
  73. Thu Jun 5 11:13:23 2025 max relations containing the same ideal: 135
  74. Thu Jun 5 11:13:37 2025 removing 5686578 relations and 3686578 ideals in 2000000 cliques
  75. Thu Jun 5 11:13:38 2025 commencing in-memory singleton removal
  76. Thu Jun 5 11:13:41 2025 begin with 101393214 relations and 80047165 unique ideals
  77. Thu Jun 5 11:13:54 2025 reduce to 101214035 relations and 76178328 ideals in 5 passes
  78. Thu Jun 5 11:13:54 2025 max relations containing the same ideal: 130
  79. Thu Jun 5 11:14:07 2025 removing 5553263 relations and 3553263 ideals in 2000000 cliques
  80. Thu Jun 5 11:14:09 2025 commencing in-memory singleton removal
  81. Thu Jun 5 11:14:10 2025 begin with 95660772 relations and 76178328 unique ideals
  82. Thu Jun 5 11:14:23 2025 reduce to 95471530 relations and 72432406 ideals in 5 passes
  83. Thu Jun 5 11:14:23 2025 max relations containing the same ideal: 127
  84. Thu Jun 5 11:14:36 2025 removing 5473094 relations and 3473094 ideals in 2000000 cliques
  85. Thu Jun 5 11:14:37 2025 commencing in-memory singleton removal
  86. Thu Jun 5 11:14:39 2025 begin with 89998436 relations and 72432406 unique ideals
  87. Thu Jun 5 11:14:53 2025 reduce to 89790631 relations and 68747427 ideals in 6 passes
  88. Thu Jun 5 11:14:53 2025 max relations containing the same ideal: 118
  89. Thu Jun 5 11:15:05 2025 removing 5447083 relations and 3447083 ideals in 2000000 cliques
  90. Thu Jun 5 11:15:06 2025 commencing in-memory singleton removal
  91. Thu Jun 5 11:15:08 2025 begin with 84343548 relations and 68747427 unique ideals
  92. Thu Jun 5 11:15:21 2025 reduce to 84121193 relations and 65073367 ideals in 6 passes
  93. Thu Jun 5 11:15:21 2025 max relations containing the same ideal: 114
  94. Thu Jun 5 11:15:32 2025 removing 5385050 relations and 3385050 ideals in 2000000 cliques
  95. Thu Jun 5 11:15:33 2025 commencing in-memory singleton removal
  96. Thu Jun 5 11:15:35 2025 begin with 78736143 relations and 65073367 unique ideals
  97. Thu Jun 5 11:15:47 2025 reduce to 78486835 relations and 61433288 ideals in 6 passes
  98. Thu Jun 5 11:15:47 2025 max relations containing the same ideal: 108
  99. Thu Jun 5 11:15:58 2025 removing 5452515 relations and 3452515 ideals in 2000000 cliques
  100. Thu Jun 5 11:15:59 2025 commencing in-memory singleton removal
  101. Thu Jun 5 11:16:00 2025 begin with 73034320 relations and 61433288 unique ideals
  102. Thu Jun 5 11:16:12 2025 reduce to 72788574 relations and 57729191 ideals in 6 passes
  103. Thu Jun 5 11:16:12 2025 max relations containing the same ideal: 102
  104. Thu Jun 5 11:16:22 2025 removing 5384945 relations and 3384945 ideals in 2000000 cliques
  105. Thu Jun 5 11:16:23 2025 commencing in-memory singleton removal
  106. Thu Jun 5 11:16:24 2025 begin with 67403629 relations and 57729191 unique ideals
  107. Thu Jun 5 11:16:33 2025 reduce to 67128302 relations and 54061733 ideals in 5 passes
  108. Thu Jun 5 11:16:33 2025 max relations containing the same ideal: 96
  109. Thu Jun 5 11:16:42 2025 removing 5411599 relations and 3411599 ideals in 2000000 cliques
  110. Thu Jun 5 11:16:43 2025 commencing in-memory singleton removal
  111. Thu Jun 5 11:16:44 2025 begin with 61716703 relations and 54061733 unique ideals
  112. Thu Jun 5 11:16:54 2025 reduce to 61414865 relations and 50339802 ideals in 6 passes
  113. Thu Jun 5 11:16:54 2025 max relations containing the same ideal: 94
  114. Thu Jun 5 11:17:03 2025 removing 5422003 relations and 3422003 ideals in 2000000 cliques
  115. Thu Jun 5 11:17:03 2025 commencing in-memory singleton removal
  116. Thu Jun 5 11:17:05 2025 begin with 55992862 relations and 50339802 unique ideals
  117. Thu Jun 5 11:17:13 2025 reduce to 55650704 relations and 46565010 ideals in 6 passes
  118. Thu Jun 5 11:17:13 2025 max relations containing the same ideal: 87
  119. Thu Jun 5 11:17:21 2025 removing 5462501 relations and 3462501 ideals in 2000000 cliques
  120. Thu Jun 5 11:17:22 2025 commencing in-memory singleton removal
  121. Thu Jun 5 11:17:23 2025 begin with 50188203 relations and 46565010 unique ideals
  122. Thu Jun 5 11:17:30 2025 reduce to 49797529 relations and 42698545 ideals in 6 passes
  123. Thu Jun 5 11:17:30 2025 max relations containing the same ideal: 81
  124. Thu Jun 5 11:17:38 2025 removing 5522739 relations and 3522739 ideals in 2000000 cliques
  125. Thu Jun 5 11:17:39 2025 commencing in-memory singleton removal
  126. Thu Jun 5 11:17:40 2025 begin with 44274790 relations and 42698545 unique ideals
  127. Thu Jun 5 11:17:47 2025 reduce to 43820493 relations and 38704219 ideals in 7 passes
  128. Thu Jun 5 11:17:47 2025 max relations containing the same ideal: 73
  129. Thu Jun 5 11:17:54 2025 removing 5612019 relations and 3612019 ideals in 2000000 cliques
  130. Thu Jun 5 11:17:55 2025 commencing in-memory singleton removal
  131. Thu Jun 5 11:17:56 2025 begin with 38208474 relations and 38704219 unique ideals
  132. Thu Jun 5 11:18:02 2025 reduce to 37665485 relations and 34526309 ideals in 7 passes
  133. Thu Jun 5 11:18:02 2025 max relations containing the same ideal: 69
  134. Thu Jun 5 11:18:08 2025 removing 5447838 relations and 3575505 ideals in 1872333 cliques
  135. Thu Jun 5 11:18:09 2025 commencing in-memory singleton removal
  136. Thu Jun 5 11:18:09 2025 begin with 32217647 relations and 34526309 unique ideals
  137. Thu Jun 5 11:18:15 2025 reduce to 31623447 relations and 30329743 ideals in 8 passes
  138. Thu Jun 5 11:18:15 2025 max relations containing the same ideal: 59
  139. Thu Jun 5 11:18:21 2025 removing 169176 relations and 142315 ideals in 26861 cliques
  140. Thu Jun 5 11:18:21 2025 commencing in-memory singleton removal
  141. Thu Jun 5 11:18:22 2025 begin with 31454271 relations and 30329743 unique ideals
  142. Thu Jun 5 11:18:25 2025 reduce to 31453728 relations and 30186884 ideals in 5 passes
  143. Thu Jun 5 11:18:25 2025 max relations containing the same ideal: 59
  144. Thu Jun 5 11:18:27 2025 relations with 0 large ideals: 27316
  145. Thu Jun 5 11:18:27 2025 relations with 1 large ideals: 22307
  146. Thu Jun 5 11:18:27 2025 relations with 2 large ideals: 250903
  147. Thu Jun 5 11:18:27 2025 relations with 3 large ideals: 1345486
  148. Thu Jun 5 11:18:27 2025 relations with 4 large ideals: 3956792
  149. Thu Jun 5 11:18:27 2025 relations with 5 large ideals: 7127426
  150. Thu Jun 5 11:18:27 2025 relations with 6 large ideals: 8211513
  151. Thu Jun 5 11:18:27 2025 relations with 7+ large ideals: 10511985
  152. Thu Jun 5 11:18:27 2025 commencing 2-way merge
  153. Thu Jun 5 11:18:34 2025 reduce to 22352605 relation sets and 21085761 unique ideals
  154. Thu Jun 5 11:18:34 2025 commencing full merge
  155. Thu Jun 5 11:20:49 2025 memory use: 2572.7 MB
  156. Thu Jun 5 11:20:51 2025 found 12016046 cycles, need 11841961
  157. Thu Jun 5 11:20:51 2025 weight of 11841961 cycles is about 829209566 (70.02/cycle)
  158. Thu Jun 5 11:20:51 2025 distribution of cycle lengths:
  159. Thu Jun 5 11:20:51 2025 1 relations: 1356249
  160. Thu Jun 5 11:20:51 2025 2 relations: 1489835
  161. Thu Jun 5 11:20:51 2025 3 relations: 1568929
  162. Thu Jun 5 11:20:51 2025 4 relations: 1480963
  163. Thu Jun 5 11:20:51 2025 5 relations: 1345818
  164. Thu Jun 5 11:20:51 2025 6 relations: 1133954
  165. Thu Jun 5 11:20:51 2025 7 relations: 928451
  166. Thu Jun 5 11:20:51 2025 8 relations: 731764
  167. Thu Jun 5 11:20:51 2025 9 relations: 559739
  168. Thu Jun 5 11:20:51 2025 10+ relations: 1246259
  169. Thu Jun 5 11:20:51 2025 heaviest cycle: 18 relations
  170. Thu Jun 5 11:20:52 2025 commencing cycle optimization
  171. Thu Jun 5 11:20:58 2025 start with 60238368 relations
  172. Thu Jun 5 11:21:31 2025 pruned 1948398 relations
  173. Thu Jun 5 11:21:31 2025 memory use: 1916.5 MB
  174. Thu Jun 5 11:21:31 2025 distribution of cycle lengths:
  175. Thu Jun 5 11:21:31 2025 1 relations: 1356249
  176. Thu Jun 5 11:21:31 2025 2 relations: 1524796
  177. Thu Jun 5 11:21:31 2025 3 relations: 1635030
  178. Thu Jun 5 11:21:31 2025 4 relations: 1534922
  179. Thu Jun 5 11:21:31 2025 5 relations: 1397720
  180. Thu Jun 5 11:21:31 2025 6 relations: 1162036
  181. Thu Jun 5 11:21:31 2025 7 relations: 941011
  182. Thu Jun 5 11:21:31 2025 8 relations: 721020
  183. Thu Jun 5 11:21:31 2025 9 relations: 535518
  184. Thu Jun 5 11:21:31 2025 10+ relations: 1033659
  185. Thu Jun 5 11:21:31 2025 heaviest cycle: 18 relations
  186. Thu Jun 5 11:21:34 2025 RelProcTime: 2167
  187. Thu Jun 5 11:21:34 2025
  188. Thu Jun 5 11:21:34 2025 commencing linear algebra
  189. Thu Jun 5 11:21:34 2025 read 11841961 cycles
  190. Thu Jun 5 11:21:41 2025 cycles contain 30868438 unique relations
  191. Thu Jun 5 11:22:34 2025 read 30868438 relations
  192. Thu Jun 5 11:23:01 2025 using 20 quadratic characters above 2147481998
  193. Thu Jun 5 11:23:59 2025 building initial matrix
  194. Thu Jun 5 11:26:14 2025 memory use: 4083.8 MB
  195. Thu Jun 5 11:26:16 2025 read 11841961 cycles
  196. Thu Jun 5 11:26:17 2025 matrix is 11841780 x 11841961 (3531.0 MB) with weight 1040952731 (87.90/col)
  197. Thu Jun 5 11:26:17 2025 sparse part has weight 795380441 (67.17/col)
  198. Thu Jun 5 11:26:52 2025 filtering completed in 2 passes
  199. Thu Jun 5 11:26:52 2025 matrix is 11838731 x 11838912 (3530.8 MB) with weight 1040859051 (87.92/col)
  200. Thu Jun 5 11:26:52 2025 sparse part has weight 795348586 (67.18/col)
  201. Thu Jun 5 11:27:01 2025 read 11838912 cycles
  202. Thu Jun 5 11:27:02 2025 matrix is 11838731 x 11838912 (3530.8 MB) with weight 1040859051 (87.92/col)
  203. Thu Jun 5 11:27:02 2025 sparse part has weight 795348586 (67.18/col)
  204. Thu Jun 5 11:27:02 2025 saving the first 48 matrix rows for later
  205. Thu Jun 5 11:27:03 2025 matrix is 11838683 x 11838912 (3385.3 MB) with weight 837972918 (70.78/col)
  206. Thu Jun 5 11:27:03 2025 sparse part has weight 769052639 (64.96/col)
  207. Thu Jun 5 11:27:03 2025 matrix includes 64 packed rows
  208. Thu Jun 5 11:27:03 2025 using block size 21845 for processor cache size 512 kB
  209. Thu Jun 5 11:27:27 2025 commencing Lanczos iteration (10 threads)
  210. Thu Jun 5 11:27:27 2025 memory use: 4256.5 MB
  211. Thu Jun 5 11:27:38 2025 linear algebra at 0.0%, ETA 43h22m
  212. Thu Jun 5 14:16:51 2025 lanczos halted after 11570 iterations (dim = 731570)
  213. Thu Jun 5 14:16:52 2025 BLanczosTime: 10518
  214. Thu Jun 5 14:16:52 2025
  215. Thu Jun 5 14:16:52 2025 commencing square root phase
  216. Thu Jun 5 14:16:52 2025 reading relations for dependency 1
  217. Sat Jun 7 08:39:44 2025
  218. Sat Jun 7 08:39:44 2025
  219. Sat Jun 7 08:39:44 2025 Msieve v. 1.46
  220. Sat Jun 7 08:39:44 2025 random seeds: 59b50948 a3351c8e
  221. Sat Jun 7 08:39:44 2025 factoring 2484261365203993987385169714441052042597952904975699033721920282038678259036668232164739660935195115194093604358343672818976913972816723339739739613595492614521666910362852277504020301234649148889464375927733160076761120391762836987 (232 digits)
  222. Sat Jun 7 08:39:44 2025 searching for 15-digit factors
  223. Sat Jun 7 08:39:45 2025 commencing number field sieve (232-digit input)
  224. Sat Jun 7 08:39:45 2025 R0: 867361737988403547205962240695953369140625
  225. Sat Jun 7 08:39:45 2025 R1: -42391158275216203514294433201
  226. Sat Jun 7 08:39:45 2025 A0: 25
  227. Sat Jun 7 08:39:45 2025 A1: 0
  228. Sat Jun 7 08:39:45 2025 A2: 0
  229. Sat Jun 7 08:39:45 2025 A3: 15
  230. Sat Jun 7 08:39:45 2025 A4: 0
  231. Sat Jun 7 08:39:45 2025 A5: 0
  232. Sat Jun 7 08:39:45 2025 A6: 9
  233. Sat Jun 7 08:39:45 2025 skew 1.19, size 2.555e-12, alpha -0.329, combined = 2.331e-13 rroots = 0
  234. Sat Jun 7 08:39:45 2025
  235. Sat Jun 7 08:39:45 2025 commencing relation filtering
  236. Sat Jun 7 08:39:45 2025 estimated available RAM is 131072.0 MB
  237. Sat Jun 7 08:39:45 2025 commencing duplicate removal, pass 1
  238. Sat Jun 7 08:40:47 2025 error -15 reading relation 46927842
  239. Sat Jun 7 08:45:11 2025 skipped 497 relations with b > 2^32
  240. Sat Jun 7 08:45:11 2025 found 11553537 hash collisions in 230762591 relations
  241. Sat Jun 7 08:45:16 2025 added 812057 free relations
  242. Sat Jun 7 08:45:16 2025 commencing duplicate removal, pass 2
  243. Sat Jun 7 08:46:05 2025 found 1 duplicates and 231574647 unique relations
  244. Sat Jun 7 08:46:05 2025 memory use: 756.8 MB
  245. Sat Jun 7 08:46:05 2025 reading ideals above 720000
  246. Sat Jun 7 08:46:05 2025 commencing singleton removal, initial pass
  247. Sat Jun 7 09:12:47 2025 memory use: 5512.0 MB
  248. Sat Jun 7 09:12:47 2025 reading all ideals from disk
  249. Sat Jun 7 09:12:48 2025 memory use: 9401.3 MB
  250. Sat Jun 7 09:12:54 2025 keeping 180437683 ideals with weight <= 200, target excess is 1191034
  251. Sat Jun 7 09:13:03 2025 commencing in-memory singleton removal
  252. Sat Jun 7 09:13:08 2025 begin with 231574647 relations and 180437683 unique ideals
  253. Sat Jun 7 09:13:57 2025 reduce to 179163692 relations and 124718918 ideals in 10 passes
  254. Sat Jun 7 09:13:57 2025 max relations containing the same ideal: 179
  255. Sat Jun 7 09:14:20 2025 removing 9061787 relations and 7061787 ideals in 2000000 cliques
  256. Sat Jun 7 09:14:22 2025 commencing in-memory singleton removal
  257. Sat Jun 7 09:14:25 2025 begin with 170101905 relations and 124718918 unique ideals
  258. Sat Jun 7 09:14:52 2025 reduce to 169892301 relations and 117444867 ideals in 6 passes
  259. Sat Jun 7 09:14:52 2025 max relations containing the same ideal: 173
  260. Sat Jun 7 09:15:13 2025 removing 7009299 relations and 5009299 ideals in 2000000 cliques
  261. Sat Jun 7 09:15:15 2025 commencing in-memory singleton removal
  262. Sat Jun 7 09:15:18 2025 begin with 162883002 relations and 117444867 unique ideals
  263. Sat Jun 7 09:15:40 2025 reduce to 162728049 relations and 112278900 ideals in 5 passes
  264. Sat Jun 7 09:15:40 2025 max relations containing the same ideal: 168
  265. Sat Jun 7 09:16:00 2025 removing 6353726 relations and 4353726 ideals in 2000000 cliques
  266. Sat Jun 7 09:16:02 2025 commencing in-memory singleton removal
  267. Sat Jun 7 09:16:05 2025 begin with 156374323 relations and 112278900 unique ideals
  268. Sat Jun 7 09:16:26 2025 reduce to 156237578 relations and 107786925 ideals in 5 passes
  269. Sat Jun 7 09:16:26 2025 max relations containing the same ideal: 163
  270. Sat Jun 7 09:16:45 2025 removing 6057220 relations and 4057220 ideals in 2000000 cliques
  271. Sat Jun 7 09:16:46 2025 commencing in-memory singleton removal
  272. Sat Jun 7 09:16:49 2025 begin with 150180358 relations and 107786925 unique ideals
  273. Sat Jun 7 09:17:13 2025 reduce to 150061811 relations and 103609798 ideals in 6 passes
  274. Sat Jun 7 09:17:13 2025 max relations containing the same ideal: 159
  275. Sat Jun 7 09:17:32 2025 removing 5809641 relations and 3809641 ideals in 2000000 cliques
  276. Sat Jun 7 09:17:33 2025 commencing in-memory singleton removal
  277. Sat Jun 7 09:17:36 2025 begin with 144252170 relations and 103609798 unique ideals
  278. Sat Jun 7 09:17:55 2025 reduce to 144127204 relations and 99673724 ideals in 5 passes
  279. Sat Jun 7 09:17:55 2025 max relations containing the same ideal: 155
  280. Sat Jun 7 09:18:13 2025 removing 5596009 relations and 3596009 ideals in 2000000 cliques
  281. Sat Jun 7 09:18:14 2025 commencing in-memory singleton removal
  282. Sat Jun 7 09:18:17 2025 begin with 138531195 relations and 99673724 unique ideals
  283. Sat Jun 7 09:18:35 2025 reduce to 138415944 relations and 95961007 ideals in 5 passes
  284. Sat Jun 7 09:18:35 2025 max relations containing the same ideal: 151
  285. Sat Jun 7 09:18:52 2025 removing 5410096 relations and 3410096 ideals in 2000000 cliques
  286. Sat Jun 7 09:18:53 2025 commencing in-memory singleton removal
  287. Sat Jun 7 09:18:56 2025 begin with 133005848 relations and 95961007 unique ideals
  288. Sat Jun 7 09:19:13 2025 reduce to 132886992 relations and 92430499 ideals in 5 passes
  289. Sat Jun 7 09:19:13 2025 max relations containing the same ideal: 149
  290. Sat Jun 7 09:19:30 2025 removing 5240757 relations and 3240757 ideals in 2000000 cliques
  291. Sat Jun 7 09:19:31 2025 commencing in-memory singleton removal
  292. Sat Jun 7 09:19:33 2025 begin with 127646235 relations and 92430499 unique ideals
  293. Sat Jun 7 09:19:53 2025 reduce to 127506992 relations and 89048487 ideals in 6 passes
  294. Sat Jun 7 09:19:53 2025 max relations containing the same ideal: 145
  295. Sat Jun 7 09:20:09 2025 removing 5279056 relations and 3279056 ideals in 2000000 cliques
  296. Sat Jun 7 09:20:10 2025 commencing in-memory singleton removal
  297. Sat Jun 7 09:20:13 2025 begin with 122227936 relations and 89048487 unique ideals
  298. Sat Jun 7 09:20:32 2025 reduce to 122101525 relations and 85641153 ideals in 6 passes
  299. Sat Jun 7 09:20:32 2025 max relations containing the same ideal: 141
  300. Sat Jun 7 09:20:47 2025 removing 5091710 relations and 3091710 ideals in 2000000 cliques
  301. Sat Jun 7 09:20:48 2025 commencing in-memory singleton removal
  302. Sat Jun 7 09:20:50 2025 begin with 117009815 relations and 85641153 unique ideals
  303. Sat Jun 7 09:21:09 2025 reduce to 116863007 relations and 82400228 ideals in 6 passes
  304. Sat Jun 7 09:21:09 2025 max relations containing the same ideal: 134
  305. Sat Jun 7 09:21:23 2025 removing 5104416 relations and 3104416 ideals in 2000000 cliques
  306. Sat Jun 7 09:21:24 2025 commencing in-memory singleton removal
  307. Sat Jun 7 09:21:27 2025 begin with 111758591 relations and 82400228 unique ideals
  308. Sat Jun 7 09:37:01 2025 reduce to 111608210 relations and 79142621 ideals in 5 passes
  309. Sat Jun 7 09:37:01 2025 max relations containing the same ideal: 132
  310. Sat Jun 7 09:37:14 2025 removing 5019260 relations and 3019260 ideals in 2000000 cliques
  311. Sat Jun 7 09:37:15 2025 commencing in-memory singleton removal
  312. Sat Jun 7 09:37:17 2025 begin with 106588950 relations and 79142621 unique ideals
  313. Sat Jun 7 09:37:31 2025 reduce to 106424109 relations and 75955145 ideals in 5 passes
  314. Sat Jun 7 09:37:31 2025 max relations containing the same ideal: 129
  315. Sat Jun 7 09:37:43 2025 removing 4980657 relations and 2980657 ideals in 2000000 cliques
  316. Sat Jun 7 09:37:45 2025 commencing in-memory singleton removal
  317. Sat Jun 7 09:37:47 2025 begin with 101443452 relations and 75955145 unique ideals
  318. Sat Jun 7 09:37:59 2025 reduce to 101266349 relations and 72793124 ideals in 5 passes
  319. Sat Jun 7 09:37:59 2025 max relations containing the same ideal: 125
  320. Sat Jun 7 09:38:12 2025 removing 4944589 relations and 2944589 ideals in 2000000 cliques
  321. Sat Jun 7 09:38:13 2025 commencing in-memory singleton removal
  322. Sat Jun 7 09:38:14 2025 begin with 96321760 relations and 72793124 unique ideals
  323. Sat Jun 7 09:38:26 2025 reduce to 96132354 relations and 69654096 ideals in 5 passes
  324. Sat Jun 7 09:38:26 2025 max relations containing the same ideal: 122
  325. Sat Jun 7 09:38:39 2025 removing 4914316 relations and 2914316 ideals in 2000000 cliques
  326. Sat Jun 7 09:38:40 2025 commencing in-memory singleton removal
  327. Sat Jun 7 09:38:41 2025 begin with 91218038 relations and 69654096 unique ideals
  328. Sat Jun 7 09:38:53 2025 reduce to 91016355 relations and 66532274 ideals in 5 passes
  329. Sat Jun 7 09:38:53 2025 max relations containing the same ideal: 116
  330. Sat Jun 7 09:39:04 2025 removing 4893414 relations and 2893414 ideals in 2000000 cliques
  331. Sat Jun 7 09:39:05 2025 commencing in-memory singleton removal
  332. Sat Jun 7 09:39:07 2025 begin with 86122941 relations and 66532274 unique ideals
  333. Sat Jun 7 09:39:18 2025 reduce to 85911550 relations and 63420806 ideals in 5 passes
  334. Sat Jun 7 09:39:18 2025 max relations containing the same ideal: 112
  335. Sat Jun 7 09:39:29 2025 removing 4878354 relations and 2878354 ideals in 2000000 cliques
  336. Sat Jun 7 09:39:29 2025 commencing in-memory singleton removal
  337. Sat Jun 7 09:39:31 2025 begin with 81033196 relations and 63420806 unique ideals
  338. Sat Jun 7 09:39:41 2025 reduce to 80815051 relations and 60317018 ideals in 5 passes
  339. Sat Jun 7 09:39:41 2025 max relations containing the same ideal: 109
  340. Sat Jun 7 09:39:52 2025 removing 4870588 relations and 2870588 ideals in 2000000 cliques
  341. Sat Jun 7 09:39:52 2025 commencing in-memory singleton removal
  342. Sat Jun 7 09:39:54 2025 begin with 75944463 relations and 60317018 unique ideals
  343. Sat Jun 7 09:40:03 2025 reduce to 75711911 relations and 57205767 ideals in 5 passes
  344. Sat Jun 7 09:40:03 2025 max relations containing the same ideal: 103
  345. Sat Jun 7 09:40:13 2025 removing 4886645 relations and 2886645 ideals in 2000000 cliques
  346. Sat Jun 7 09:40:14 2025 commencing in-memory singleton removal
  347. Sat Jun 7 09:40:16 2025 begin with 70825266 relations and 57205767 unique ideals
  348. Sat Jun 7 09:40:24 2025 reduce to 70577509 relations and 54062395 ideals in 5 passes
  349. Sat Jun 7 09:40:24 2025 max relations containing the same ideal: 97
  350. Sat Jun 7 09:40:34 2025 removing 4905126 relations and 2905126 ideals in 2000000 cliques
  351. Sat Jun 7 09:40:34 2025 commencing in-memory singleton removal
  352. Sat Jun 7 09:40:36 2025 begin with 65672383 relations and 54062395 unique ideals
  353. Sat Jun 7 09:40:45 2025 reduce to 65406797 relations and 50881495 ideals in 6 passes
  354. Sat Jun 7 09:40:45 2025 max relations containing the same ideal: 95
  355. Sat Jun 7 09:40:54 2025 removing 4930609 relations and 2930609 ideals in 2000000 cliques
  356. Sat Jun 7 09:40:55 2025 commencing in-memory singleton removal
  357. Sat Jun 7 09:40:56 2025 begin with 60476188 relations and 50881495 unique ideals
  358. Sat Jun 7 09:41:04 2025 reduce to 60187397 relations and 47650713 ideals in 5 passes
  359. Sat Jun 7 09:41:04 2025 max relations containing the same ideal: 88
  360. Sat Jun 7 09:41:12 2025 removing 4963408 relations and 2963408 ideals in 2000000 cliques
  361. Sat Jun 7 09:41:13 2025 commencing in-memory singleton removal
  362. Sat Jun 7 09:41:14 2025 begin with 55223989 relations and 47650713 unique ideals
  363. Sat Jun 7 09:41:22 2025 reduce to 54906071 relations and 44355856 ideals in 6 passes
  364. Sat Jun 7 09:41:22 2025 max relations containing the same ideal: 80
  365. Sat Jun 7 09:41:30 2025 removing 5009167 relations and 3009167 ideals in 2000000 cliques
  366. Sat Jun 7 09:41:30 2025 commencing in-memory singleton removal
  367. Sat Jun 7 09:41:31 2025 begin with 49896904 relations and 44355856 unique ideals
  368. Sat Jun 7 09:41:37 2025 reduce to 49542858 relations and 40976862 ideals in 5 passes
  369. Sat Jun 7 09:41:37 2025 max relations containing the same ideal: 75
  370. Sat Jun 7 09:41:44 2025 removing 5062283 relations and 3062283 ideals in 2000000 cliques
  371. Sat Jun 7 09:41:45 2025 commencing in-memory singleton removal
  372. Sat Jun 7 09:41:46 2025 begin with 44480575 relations and 40976862 unique ideals
  373. Sat Jun 7 09:41:52 2025 reduce to 44085749 relations and 37500718 ideals in 6 passes
  374. Sat Jun 7 09:41:52 2025 max relations containing the same ideal: 71
  375. Sat Jun 7 09:41:59 2025 removing 5127265 relations and 3127265 ideals in 2000000 cliques
  376. Sat Jun 7 09:42:00 2025 commencing in-memory singleton removal
  377. Sat Jun 7 09:42:00 2025 begin with 38958484 relations and 37500718 unique ideals
  378. Sat Jun 7 09:42:06 2025 reduce to 38504560 relations and 33896604 ideals in 6 passes
  379. Sat Jun 7 09:42:06 2025 max relations containing the same ideal: 66
  380. Sat Jun 7 09:42:12 2025 removing 5207272 relations and 3207272 ideals in 2000000 cliques
  381. Sat Jun 7 09:42:12 2025 commencing in-memory singleton removal
  382. Sat Jun 7 09:42:13 2025 begin with 33297288 relations and 33896604 unique ideals
  383. Sat Jun 7 09:42:17 2025 reduce to 32756906 relations and 30118739 ideals in 6 passes
  384. Sat Jun 7 09:42:17 2025 max relations containing the same ideal: 58
  385. Sat Jun 7 09:42:23 2025 removing 3749485 relations and 2492918 ideals in 1256567 cliques
  386. Sat Jun 7 09:42:23 2025 commencing in-memory singleton removal
  387. Sat Jun 7 09:42:24 2025 begin with 29007421 relations and 30118739 unique ideals
  388. Sat Jun 7 09:42:27 2025 reduce to 28724937 relations and 27333540 ideals in 6 passes
  389. Sat Jun 7 09:42:27 2025 max relations containing the same ideal: 54
  390. Sat Jun 7 09:42:32 2025 removing 59811 relations and 50014 ideals in 9797 cliques
  391. Sat Jun 7 09:42:32 2025 commencing in-memory singleton removal
  392. Sat Jun 7 09:42:33 2025 begin with 28665126 relations and 27333540 unique ideals
  393. Sat Jun 7 09:42:35 2025 reduce to 28665057 relations and 27283457 ideals in 3 passes
  394. Sat Jun 7 09:42:35 2025 max relations containing the same ideal: 54
  395. Sat Jun 7 09:42:36 2025 relations with 0 large ideals: 29786
  396. Sat Jun 7 09:42:36 2025 relations with 1 large ideals: 29941
  397. Sat Jun 7 09:42:36 2025 relations with 2 large ideals: 316747
  398. Sat Jun 7 09:42:36 2025 relations with 3 large ideals: 1554660
  399. Sat Jun 7 09:42:36 2025 relations with 4 large ideals: 4182705
  400. Sat Jun 7 09:42:36 2025 relations with 5 large ideals: 6905881
  401. Sat Jun 7 09:42:36 2025 relations with 6 large ideals: 7312412
  402. Sat Jun 7 09:42:36 2025 relations with 7+ large ideals: 8332925
  403. Sat Jun 7 09:42:36 2025 commencing 2-way merge
  404. Sat Jun 7 09:42:43 2025 reduce to 21034786 relation sets and 19653186 unique ideals
  405. Sat Jun 7 09:42:43 2025 commencing full merge
  406. Sat Jun 7 09:44:43 2025 memory use: 2366.4 MB
  407. Sat Jun 7 09:44:45 2025 found 11319472 cycles, need 11129386
  408. Sat Jun 7 09:44:45 2025 weight of 11129386 cycles is about 779398549 (70.03/cycle)
  409. Sat Jun 7 09:44:45 2025 distribution of cycle lengths:
  410. Sat Jun 7 09:44:45 2025 1 relations: 1119195
  411. Sat Jun 7 09:44:45 2025 2 relations: 1391502
  412. Sat Jun 7 09:44:45 2025 3 relations: 1515883
  413. Sat Jun 7 09:44:45 2025 4 relations: 1444239
  414. Sat Jun 7 09:44:45 2025 5 relations: 1318491
  415. Sat Jun 7 09:44:45 2025 6 relations: 1117207
  416. Sat Jun 7 09:44:45 2025 7 relations: 911591
  417. Sat Jun 7 09:44:45 2025 8 relations: 711571
  418. Sat Jun 7 09:44:45 2025 9 relations: 537180
  419. Sat Jun 7 09:44:45 2025 10+ relations: 1062527
  420. Sat Jun 7 09:44:45 2025 heaviest cycle: 17 relations
  421. Sat Jun 7 09:44:46 2025 commencing cycle optimization
  422. Sat Jun 7 09:44:51 2025 start with 56410634 relations
  423. Sat Jun 7 09:45:22 2025 pruned 1940528 relations
  424. Sat Jun 7 09:45:22 2025 memory use: 1770.5 MB
  425. Sat Jun 7 09:45:22 2025 distribution of cycle lengths:
  426. Sat Jun 7 09:45:22 2025 1 relations: 1119195
  427. Sat Jun 7 09:45:22 2025 2 relations: 1425792
  428. Sat Jun 7 09:45:22 2025 3 relations: 1584814
  429. Sat Jun 7 09:45:22 2025 4 relations: 1503977
  430. Sat Jun 7 09:45:22 2025 5 relations: 1376605
  431. Sat Jun 7 09:45:22 2025 6 relations: 1148269
  432. Sat Jun 7 09:45:22 2025 7 relations: 922994
  433. Sat Jun 7 09:45:22 2025 8 relations: 696600
  434. Sat Jun 7 09:45:22 2025 9 relations: 507580
  435. Sat Jun 7 09:45:22 2025 10+ relations: 843560
  436. Sat Jun 7 09:45:22 2025 heaviest cycle: 17 relations
  437. Sat Jun 7 09:45:25 2025 RelProcTime: 3940
  438. Sat Jun 7 09:45:25 2025
  439. Sat Jun 7 09:45:25 2025 commencing linear algebra
  440. Sat Jun 7 09:45:26 2025 read 11129386 cycles
  441. Sat Jun 7 09:45:32 2025 cycles contain 28100190 unique relations
  442. Sat Jun 7 09:46:22 2025 read 28100190 relations
  443. Sat Jun 7 09:46:47 2025 using 20 quadratic characters above 2147480300
  444. Sat Jun 7 09:47:42 2025 building initial matrix
  445. Sat Jun 7 09:49:45 2025 memory use: 3771.6 MB
  446. Sat Jun 7 09:49:46 2025 read 11129386 cycles
  447. Sat Jun 7 09:49:48 2025 matrix is 11129205 x 11129386 (3315.2 MB) with weight 978026051 (87.88/col)
  448. Sat Jun 7 09:49:48 2025 sparse part has weight 746634803 (67.09/col)
  449. Sat Jun 7 09:50:26 2025 filtering completed in 2 passes
  450. Sat Jun 7 09:50:27 2025 matrix is 11126932 x 11127113 (3315.0 MB) with weight 977957072 (87.89/col)
  451. Sat Jun 7 09:50:27 2025 sparse part has weight 746610718 (67.10/col)
  452. Sat Jun 7 09:50:35 2025 read 11127113 cycles
  453. Sat Jun 7 09:50:37 2025 matrix is 11126932 x 11127113 (3315.0 MB) with weight 977957072 (87.89/col)
  454. Sat Jun 7 09:50:37 2025 sparse part has weight 746610718 (67.10/col)
  455. Sat Jun 7 09:50:37 2025 saving the first 48 matrix rows for later
  456. Sat Jun 7 09:50:38 2025 matrix is 11126884 x 11127113 (3178.2 MB) with weight 786840447 (70.71/col)
  457. Sat Jun 7 09:50:38 2025 sparse part has weight 721876315 (64.88/col)
  458. Sat Jun 7 09:50:38 2025 matrix includes 64 packed rows
  459. Sat Jun 7 09:50:38 2025 using block size 21845 for processor cache size 512 kB
  460. Sat Jun 7 09:51:00 2025 commencing Lanczos iteration (10 threads)
  461. Sat Jun 7 09:51:00 2025 memory use: 3995.3 MB
  462. Sat Jun 7 09:51:10 2025 linear algebra at 0.0%, ETA 36h47m
  463. Sat Jun 7 10:12:02 2025 lanczos halted after 161 iterations (dim = 10160)
  464. Sat Jun 7 10:12:02 2025 BLanczosTime: 1597
  465. Sat Jun 7 10:12:02 2025
  466. Sat Jun 7 10:12:02 2025 commencing square root phase
  467. Sat Jun 7 10:12:02 2025 reading relations for dependency 1
  468. Sat Jun 7 10:12:23 2025
  469. Sat Jun 7 10:12:23 2025
  470. Sat Jun 7 10:12:23 2025 Msieve v. 1.46
  471. Sat Jun 7 10:12:23 2025 random seeds: 4f17551a 8aaede90
  472. Sat Jun 7 10:12:23 2025 factoring 2484261365203993987385169714441052042597952904975699033721920282038678259036668232164739660935195115194093604358343672818976913972816723339739739613595492614521666910362852277504020301234649148889464375927733160076761120391762836987 (232 digits)
  473. Sat Jun 7 10:12:23 2025 searching for 15-digit factors
  474. Sat Jun 7 10:12:24 2025 commencing number field sieve (232-digit input)
  475. Sat Jun 7 10:12:24 2025 R0: 867361737988403547205962240695953369140625
  476. Sat Jun 7 10:12:24 2025 R1: -42391158275216203514294433201
  477. Sat Jun 7 10:12:24 2025 A0: 25
  478. Sat Jun 7 10:12:24 2025 A1: 0
  479. Sat Jun 7 10:12:24 2025 A2: 0
  480. Sat Jun 7 10:12:24 2025 A3: 15
  481. Sat Jun 7 10:12:24 2025 A4: 0
  482. Sat Jun 7 10:12:24 2025 A5: 0
  483. Sat Jun 7 10:12:24 2025 A6: 9
  484. Sat Jun 7 10:12:24 2025 skew 1.19, size 2.555e-12, alpha -0.329, combined = 2.331e-13 rroots = 0
  485. Sat Jun 7 10:12:24 2025
  486. Sat Jun 7 10:12:24 2025 commencing linear algebra
  487. Sat Jun 7 10:12:24 2025 read 11127113 cycles
  488. Sat Jun 7 10:12:26 2025 matrix is 11126932 x 11127113 (3315.0 MB) with weight 977957072 (87.89/col)
  489. Sat Jun 7 10:12:26 2025 sparse part has weight 746610718 (67.10/col)
  490. Sat Jun 7 10:12:26 2025 saving the first 48 matrix rows for later
  491. Sat Jun 7 10:12:27 2025 matrix is 11126884 x 11127113 (3178.2 MB) with weight 786840447 (70.71/col)
  492. Sat Jun 7 10:12:27 2025 sparse part has weight 721876315 (64.88/col)
  493. Sat Jun 7 10:12:27 2025 matrix includes 64 packed rows
  494. Sat Jun 7 10:12:27 2025 using block size 21845 for processor cache size 512 kB
  495. Sat Jun 7 10:12:49 2025 commencing Lanczos iteration (10 threads)
  496. Sat Jun 7 10:12:49 2025 memory use: 3995.3 MB
  497. Sat Jun 7 10:12:49 2025 restarting at iteration 161 (dim = 10160)
  498. Sat Jun 7 10:12:58 2025 linear algebra at 0.1%, ETA 36h33m
  499. Mon Jun 9 01:24:25 2025 lanczos halted after 175962 iterations (dim = 11126884)
  500. Mon Jun 9 01:24:41 2025 recovered 41 nontrivial dependencies
  501. Mon Jun 9 01:24:41 2025 BLanczosTime: 141137
  502. Mon Jun 9 01:24:41 2025 elapsed time 39:12:18
  503. Mon Jun 9 07:17:11 2025
  504. Mon Jun 9 07:17:11 2025
  505. Mon Jun 9 07:17:11 2025 Msieve v. 1.46
  506. Mon Jun 9 07:17:11 2025 random seeds: 59dba549 caa48324
  507. Mon Jun 9 07:17:11 2025 factoring 2484261365203993987385169714441052042597952904975699033721920282038678259036668232164739660935195115194093604358343672818976913972816723339739739613595492614521666910362852277504020301234649148889464375927733160076761120391762836987 (232 digits)
  508. Mon Jun 9 07:17:12 2025 searching for 15-digit factors
  509. Mon Jun 9 07:17:12 2025 commencing number field sieve (232-digit input)
  510. Mon Jun 9 07:17:12 2025 R0: 867361737988403547205962240695953369140625
  511. Mon Jun 9 07:17:12 2025 R1: -42391158275216203514294433201
  512. Mon Jun 9 07:17:12 2025 A0: 25
  513. Mon Jun 9 07:17:12 2025 A1: 0
  514. Mon Jun 9 07:17:12 2025 A2: 0
  515. Mon Jun 9 07:17:12 2025 A3: 15
  516. Mon Jun 9 07:17:12 2025 A4: 0
  517. Mon Jun 9 07:17:12 2025 A5: 0
  518. Mon Jun 9 07:17:12 2025 A6: 9
  519. Mon Jun 9 07:17:12 2025 skew 1.19, size 2.555e-12, alpha -0.329, combined = 2.331e-13 rroots = 0
  520. Mon Jun 9 07:17:12 2025
  521. Mon Jun 9 07:17:12 2025 commencing square root phase
  522. Mon Jun 9 07:17:12 2025 reading relations for dependency 1
  523. Mon Jun 9 07:17:13 2025 read 5565262 cycles
  524. Mon Jun 9 07:17:16 2025 cycles contain 14054250 unique relations
  525. Mon Jun 9 07:17:47 2025 read 14054250 relations
  526. Mon Jun 9 07:18:13 2025 multiplying 14054250 relations
  527. Mon Jun 9 08:19:00 2025
  528. Mon Jun 9 08:19:00 2025
  529. Mon Jun 9 08:19:00 2025 Msieve v. 1.46
  530. Mon Jun 9 08:19:00 2025 random seeds: 4ec12d74 e351abfa
  531. Mon Jun 9 08:19:00 2025 factoring 2484261365203993987385169714441052042597952904975699033721920282038678259036668232164739660935195115194093604358343672818976913972816723339739739613595492614521666910362852277504020301234649148889464375927733160076761120391762836987 (232 digits)
  532. Mon Jun 9 08:19:00 2025 searching for 15-digit factors
  533. Mon Jun 9 08:19:01 2025 commencing number field sieve (232-digit input)
  534. Mon Jun 9 08:19:01 2025 R0: 867361737988403547205962240695953369140625
  535. Mon Jun 9 08:19:01 2025 R1: -42391158275216203514294433201
  536. Mon Jun 9 08:19:01 2025 A0: 25
  537. Mon Jun 9 08:19:01 2025 A1: 0
  538. Mon Jun 9 08:19:01 2025 A2: 0
  539. Mon Jun 9 08:19:01 2025 A3: 15
  540. Mon Jun 9 08:19:01 2025 A4: 0
  541. Mon Jun 9 08:19:01 2025 A5: 0
  542. Mon Jun 9 08:19:01 2025 A6: 9
  543. Mon Jun 9 08:19:01 2025 skew 1.19, size 2.555e-12, alpha -0.329, combined = 2.331e-13 rroots = 0
  544. Mon Jun 9 08:19:01 2025
  545. Mon Jun 9 08:19:01 2025 commencing square root phase
  546. Mon Jun 9 08:19:01 2025 reading relations for dependency 1
  547. Mon Jun 9 08:19:01 2025 read 5565262 cycles
  548. Mon Jun 9 08:19:04 2025 cycles contain 14054250 unique relations
  549. Mon Jun 9 08:19:35 2025 read 14054250 relations
  550. Mon Jun 9 08:20:00 2025 multiplying 14054250 relations
  551. Mon Jun 9 08:27:47 2025
  552. Mon Jun 9 08:27:47 2025
  553. Mon Jun 9 08:27:47 2025 Msieve v. 1.46
  554. Mon Jun 9 08:27:47 2025 random seeds: 3e44ff3f e3e0febd
  555. Mon Jun 9 08:27:47 2025 factoring 2484261365203993987385169714441052042597952904975699033721920282038678259036668232164739660935195115194093604358343672818976913972816723339739739613595492614521666910362852277504020301234649148889464375927733160076761120391762836987 (232 digits)
  556. Mon Jun 9 08:27:48 2025 searching for 15-digit factors
  557. Mon Jun 9 08:27:48 2025 commencing number field sieve (232-digit input)
  558. Mon Jun 9 08:27:48 2025 R0: 867361737988403547205962240695953369140625
  559. Mon Jun 9 08:27:48 2025 R1: -42391158275216203514294433201
  560. Mon Jun 9 08:27:48 2025 A0: 25
  561. Mon Jun 9 08:27:48 2025 A1: 0
  562. Mon Jun 9 08:27:48 2025 A2: 0
  563. Mon Jun 9 08:27:48 2025 A3: 15
  564. Mon Jun 9 08:27:48 2025 A4: 0
  565. Mon Jun 9 08:27:48 2025 A5: 0
  566. Mon Jun 9 08:27:48 2025 A6: 9
  567. Mon Jun 9 08:27:48 2025 skew 1.19, size 2.555e-12, alpha -0.329, combined = 2.331e-13 rroots = 0
  568. Mon Jun 9 08:27:48 2025
  569. Mon Jun 9 08:27:48 2025 commencing square root phase
  570. Mon Jun 9 08:27:48 2025 reading relations for dependency 1
  571. Mon Jun 9 08:27:49 2025 read 5565262 cycles
  572. Mon Jun 9 08:27:52 2025 cycles contain 14054250 unique relations
  573. Mon Jun 9 08:28:22 2025 read 14054250 relations
  574. Mon Jun 9 08:28:48 2025 multiplying 14054250 relations
  575. Mon Jun 9 14:20:16 2025
  576. Mon Jun 9 14:20:16 2025
  577. Mon Jun 9 14:20:16 2025 Msieve v. 1.53 (SVN 988M)
  578. Mon Jun 9 14:20:16 2025 random seeds: 4c70139f d331ce78
  579. Mon Jun 9 14:20:16 2025 factoring 2484261365203993987385169714441052042597952904975699033721920282038678259036668232164739660935195115194093604358343672818976913972816723339739739613595492614521666910362852277504020301234649148889464375927733160076761120391762836987 (232 digits)
  580. Mon Jun 9 14:20:17 2025 searching for 15-digit factors
  581. Mon Jun 9 14:20:18 2025 commencing number field sieve (232-digit input)
  582. Mon Jun 9 14:20:18 2025 R0: 867361737988403547205962240695953369140625
  583. Mon Jun 9 14:20:18 2025 R1: -42391158275216203514294433201
  584. Mon Jun 9 14:20:18 2025 A0: 25
  585. Mon Jun 9 14:20:18 2025 A1: 0
  586. Mon Jun 9 14:20:18 2025 A2: 0
  587. Mon Jun 9 14:20:18 2025 A3: 15
  588. Mon Jun 9 14:20:18 2025 A4: 0
  589. Mon Jun 9 14:20:18 2025 A5: 0
  590. Mon Jun 9 14:20:18 2025 A6: 9
  591. Mon Jun 9 14:20:18 2025 skew 1.19, size 2.171e-12, alpha -0.329, combined = 2.065e-13 rroots = 0
  592. Mon Jun 9 14:20:18 2025
  593. Mon Jun 9 14:20:18 2025 commencing square root phase
  594. Mon Jun 9 14:20:18 2025 reading relations for dependency 1
  595. Mon Jun 9 14:20:20 2025 read 5565262 cycles
  596. Mon Jun 9 14:20:26 2025 cycles contain 14054250 unique relations
  597. Mon Jun 9 14:21:27 2025 read 14054250 relations
  598. Mon Jun 9 14:22:24 2025 multiplying 14054250 relations
  599. Mon Jun 9 14:31:21 2025 multiply complete, coefficients have about 410.40 million bits
  600. Mon Jun 9 14:31:22 2025 initial square root is modulo 23112029
  601. Mon Jun 9 14:41:46 2025 GCD is N, no factor found
  602. Mon Jun 9 14:41:46 2025 reading relations for dependency 2
  603. Mon Jun 9 14:41:48 2025 read 5561675 cycles
  604. Mon Jun 9 14:41:54 2025 cycles contain 14048530 unique relations
  605. Mon Jun 9 14:42:55 2025 read 14048530 relations
  606. Mon Jun 9 14:43:54 2025 multiplying 14048530 relations
  607. Mon Jun 9 14:53:23 2025 multiply complete, coefficients have about 410.23 million bits
  608. Mon Jun 9 14:53:24 2025 initial square root is modulo 22953089
  609. Mon Jun 9 15:04:25 2025 sqrtTime: 2647
  610. Mon Jun 9 15:04:25 2025 p84 factor: 234599690725305536142659637450621516539353765417980914496934502146489854450727076941
  611. Mon Jun 9 15:04:25 2025 p149 factor: 10589363342822277943376783331040415539670000469014269348599458966525837136289942217625126119712457076054084231457106466077659759955749209773871042407
  612. Mon Jun 9 15:04:25 2025 elapsed time 00:44:09
  613.  
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